New Periodic Solutions for a Class of Singular Hamiltonian Systems

被引：1
|
作者：
Peng Fei YUAN
Shi Qing ZHANG
机构：
[1] DepartmentofMathematics,SichuanUniversity
来源：
Acta Mathematica Sinica | 2013年 / 29卷 / 06期
关键词：
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper, we apply a variant of the famous Mountain Pass Lemmas of Ambrosetti-Rabinowitz and Ambrosetti-Coti Zelati with (PSC)c type condition of Palais-Smale-Cerami to study the existence of new periodic solutions with a prescribed energy for symmetrical singular second order Hamiltonian conservative systems with weak force type potentials.
引用
收藏
页码：1205 / 1218
页数：14
相关论文
共 50 条
  • [1] New Periodic Solutions for a Class of Singular Hamiltonian Systems
    Peng Fei YUAN
    Shi Qing ZHANG
    Acta Mathematica Sinica,English Series, 2013, (06) : 1205 - 1218
  • [2] New periodic solutions for a class of singular Hamiltonian systems
    Peng Fei Yuan
    Shi Qing Zhang
    Acta Mathematica Sinica, English Series, 2013, 29 : 1205 - 1218
  • [3] New periodic solutions for a class of singular Hamiltonian systems
    Yuan, Peng Fei
    Zhang, Shi Qing
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (06) : 1205 - 1218
  • [4] New periodic solutions for a class of singular Hamiltonian systems
    Xiong-rui Wang
    Shengyi Shen
    Boundary Value Problems, 2014
  • [5] New periodic solutions for a class of singular Hamiltonian systems
    Wang, Xiong-rui
    Shen, Shengyi
    BOUNDARY VALUE PROBLEMS, 2014,
  • [6] PERIODIC-SOLUTIONS OF A CLASS OF SINGULAR HAMILTONIAN-SYSTEMS
    GRECO, C
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1988, 12 (03) : 259 - 269
  • [7] Periodic Solutions for a Class of Singular Hamiltonian Systems on Time Scales
    Meng, Xiaofang
    Li, Yongkun
    JOURNAL OF MATHEMATICS, 2014, 2014
  • [8] New periodic solutions of singular Hamiltonian systems with fixed energies
    Li, Fengying
    Hua, Qingqing
    Zhang, Shiqing
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [9] New periodic solutions of singular Hamiltonian systems with fixed energies
    Fengying Li
    Qingqing Hua
    Shiqing Zhang
    Journal of Inequalities and Applications, 2014
  • [10] A remark on periodic solutions of singular Hamiltonian systems
    Adachi, S
    Tanaka, K
    Terui, M
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2005, 12 (03): : 265 - 274
12345